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QuestionMathematics

What is 0.58 as a fraction in its simplest form?
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Answer

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Step 1:
: Identify the whole number part and the decimal part of the given number.

The whole number part is 0, and the decimal part is 0.58.

Step 2:
: Convert the decimal part to a fraction.

0.58 = \frac{0.58}{1} \times \frac{100}{100} = \frac{58}{100}
To do this, multiply both the numerator and the denominator by 100 so that the decimal part becomes a whole number.

Step 3:
: Simplify the fraction.

0.58 = \frac{58}{100} \div \frac{2}{2} = \frac{29}{50}
To simplify the fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 58 and 100 is 2.

Final Answer

0.58 as a fraction in its simplest form is \frac{29}{50}.